Focus: construction of the depolarization sequence

The foci edit view can be opened under the main menu item -Heart- by selecting
-foci edit- in the -left mouse- sub menu or by selecting
foci edit in the heart view.
This view is a dockable
view, which means that is can be dragged outsize the application window but can
also be embeded in its window left from the heart pane or right from the thorax pane.
When leaving the foci edit mode by selecting an other option in the
heart view, the foci edit view is closed.

When in the foci edit mode, a node selected on the heart surface can be assigned to
represent an early break through of depolarization, or an ectopic focus in the event of a single
activation site. The user may also specify whether the node on the oposite wall is used as a focus.
This function was added to simulate activations starting within the wall and activating both
sides of the wall simultaneously. It permits to control the relevant parameters: the initial
depolarization time of the focus, and the propagation velocity of the depolarization wave front
started from this focus.

The propagtion velocity of the constructed depolarization wave can be changed in a
local region or global. The way the velocity is adapted depends on the oparation mode:

construction: In the construction mode the velocities can
be set on the left and right endocardium, epicardium and transmural. The transmural
velocity is slower because of the myocardial fiber orientation. Typical values are
0.7 ms-1 over the wall and 0.3 ms-1 transmural.

manipuilation: In the manipulation the velocities, both over
the surface as well as transmural, are derived from the initial depolarization sequence.
The user is now able to change the local propagation velocity in respect to the initial esitmated, apparent,
velocity. Changes are expressed as a percentage of the initial propagation velocity.

Repolarization

The repolarization times can be recomputed using an heuristic approach (select global repolarization).
If one or more foci of depolarization are defined on the heart surface, the activation recovery interval (ARI)
of each node n can be computed as follows:

ARI(n) = mARI - alpha x dDEP(n),

with mARI(n) = mean( ARI ) and dDEP(n) = DEP(n) - mean(DEP)
where mARI is the mean ARI defined by the user and alpha the (linear) relation between depolarization time and ARI.

This heuristic assignment of repolarization times is based on the following arguments. The original
distribution of the action potential duration is partially an expression of the intrinsic characteristics
of the myocardium. For another part it is the result of the distribution of the activation times, where
regions that depolarize early tend to repolarize late. Hence the new action potential duration is set
the original one, plus a term that is negative is the new activation time is later than before, and vise
versa. The (default) weight factor 0.4 of alpha is based on the statistical relation between depolarization and repolarization
times described in Genesis of the T-wave as based on an Equivalent Surface Source Model listed in the
references section. The whole T wave can be shifted in time by changing the mean ARI (Activation Recovery Interval).

Construction of activation

The ectopic focus situation is shown below.

An example of an additional early break through on the right ventricular epiocardium is shown below.

Any node that is selected to be a focus is marked on the Heart surface
(black dot in the figure above). The foci indicated with white dots are the foci derived from the
initial depolarziation sequence.